A package dropped from an airplane reaches a velocity of 117.72 m/s in how many seconds? (Show all work)

To solve this problem, we will use the equation of motion:

v = u + at

where:

v is the final velocity = 117.72 m/sec

u is the initial velocity = zero (body starts falling from rest)

a is the acceleration of the body which is equivalent to acceleration due to gravity = 9.8 m/sec^2

t is the time that we want to calculate

Substitute with the givens in the above equation to get the time as follows:

v = u + at

117.72 = 0 + 9.8t

117.72 = 9.8t

t = 117.72 / 9.8

t = 12.0122 seconds